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Finding the Third Proportional to 233,880 and 496,912

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Solution

The third proportional to 233,880 and 496,912 is: 1,055,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,880 : 496,912 = 496,912 : x
  2. Step 2: Convert to fraction form
    233,880/496,912 = 496,912/x
  3. Step 3: Cross multiply
    233,880x = 496,912 × 496,912
  4. Step 4: Simplify right side
    233,880x = 246,921,535,744
  5. Step 5: Solve for x
    x = 246,921,535,744/233,880
  6. Step 6: Final answer
    x = 1,055,761.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.